Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
480 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 165 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #16810831 | C2 | direct (N × H) |
| 84. C2×Dic53 | Q16 | semidirect |
| 104. Dic53 | C2×Q16 | semidirect |
| 106. C2×C53 | #462 | semidirect |
| 118. C53 | C2×#462 | semidirect |
| 215. C2 | #16810831 | direct (N × H) |